Geometric motivic Poincaré series of quasi-ordinary singularities

Details Geometric motivic Poincaré series of quasi-ordinary singularities Geometric motivic Poincaré series of quasi-ordinary singularities

2010-11-12

arxiv.org/abs/1011.2950v1

Math. Proc. Camb. Phil. Soc 149, 49 (2010) 49-74

Mathematics

Algebraic Geometry

Scientific paper

10.1017/S0305004110000101

The geometric motivic Poincar\'e series of a germ $(S,0)$ of complex algebraic variety takes into account the classes in the Grothendieck ring of the jets of arcs through $(S,0)$. Denef and Loeser proved that this series has a rational form. We give an explicit description of this invariant when $(S,0)$ is an irreducible germ of quasi-ordinary hypersurface singularity in terms of the Newton polyhedra of the logarithmic jacobian ideals. These ideals are determined by the characteristic monomials of a quasi-ordinary branch parametrizing $(S,0)$.

Affiliated with

Also associated with

No associations

Rating

Geometric motivic Poincaré series of quasi-ordinary singularities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric motivic Poincaré series of quasi-ordinary singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric motivic Poincaré series of quasi-ordinary singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-204456